Many I have not tried and I'm not sure how well they would do in your zone? For fall bearing of what I have tried. Caroline, Fall Gold, and Polka have been the best tasting ones for me.

Anne also is really good, but I have heard of it having production problems. For summer bearing types. I like Cascade Gold, Taylor, and Prelude. Prelude is not as good, but it's a great strong plant and produces well. I also like the black raspbery Jewell, but I have only tasted a few. I'm sure others are good too. I like them for jam the best. Allen black raspberry is not as good, but is such a heavy producer, I like having it.

Others I have heard are good, but have no experience with them.

Thank you for you help drew51. I'll put these on my short list:)

As an FYI, Raspberries are not adverse to dappled shade, in fact some varieties perform better in it (Fall Gold comes to mind).

I grow raspberries in full sun and semi-shade and I have never seen an advantage to full sun here in the midwest. I grow Caroline, Heritage, Autumn Bliss, Taylor, and in the past Fall Gold.

As for variety I strongly recommend growing fall bearers and pruning them for a fall crop only. This means you cut them to the ground in late winter or early spring thus removing any diseased wood, it makes management very easy. All of those I listed above are top flight, though Taylor is a summer bearer and a pain to prune and like most summer bearers seems to have a limited lifespan.